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Medium Level Question 13 – answer, explanation & discussion

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Question 13 Back to Exercise

In how many ways can 8 identical sweets be shared among 3 children so that each gets at least one?

  • A 45
  • B 21 Correct
  • C 56
  • D 28
Correct Answer: Option B

Stars and bars with each ≥ 1: (8 − 1)C(3 − 1) = 7C2 = 21

Trap: 45 = 10C2 allows a child to get none.

Answer: 21

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